Two-sided bounds on | det A| for Nekrasov and S-Nekrasov matrices A are obtained. It is shown that for Nekrasov matrices the new bounds improve the known bounds of Bailey and Crabtree. As to the relatively recently introduced S-Nekrasov matrices, no bounds on their determinants have been suggested, as far as the author is aware. Bibliography: 13 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 428, 2014, pp. 166–181.
Translated by L. Yu. Kolotilina.
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Kolotilina, L.Y. Bounds for the Determinants of Nekrasov and S-Nekrasov Matrices. J Math Sci 207, 776–785 (2015). https://doi.org/10.1007/s10958-015-2400-y
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DOI: https://doi.org/10.1007/s10958-015-2400-y